12.5x-10.2=3(2.5x+4.2)-6

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Solution for 12.5x-10.2=3(2.5x+4.2)-6 equation:


Simplifying
12.5x + -10.2 = 3(2.5x + 4.2) + -6

Reorder the terms:
-10.2 + 12.5x = 3(2.5x + 4.2) + -6

Reorder the terms:
-10.2 + 12.5x = 3(4.2 + 2.5x) + -6
-10.2 + 12.5x = (4.2 * 3 + 2.5x * 3) + -6
-10.2 + 12.5x = (12.6 + 7.5x) + -6

Reorder the terms:
-10.2 + 12.5x = 12.6 + -6 + 7.5x

Combine like terms: 12.6 + -6 = 6.6
-10.2 + 12.5x = 6.6 + 7.5x

Solving
-10.2 + 12.5x = 6.6 + 7.5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7.5x' to each side of the equation.
-10.2 + 12.5x + -7.5x = 6.6 + 7.5x + -7.5x

Combine like terms: 12.5x + -7.5x = 5x
-10.2 + 5x = 6.6 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
-10.2 + 5x = 6.6 + 0.0
-10.2 + 5x = 6.6

Add '10.2' to each side of the equation.
-10.2 + 10.2 + 5x = 6.6 + 10.2

Combine like terms: -10.2 + 10.2 = 0.0
0.0 + 5x = 6.6 + 10.2
5x = 6.6 + 10.2

Combine like terms: 6.6 + 10.2 = 16.8
5x = 16.8

Divide each side by '5'.
x = 3.36

Simplifying
x = 3.36

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